Trick or Truth The Mysterious Connection Between Physics and Mathematics 1st Edition by Anthony Aguirre, Brendan Foster, Zeeya Merali 3319274942 9783319274942

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ISBN-10 :  3319274942 

ISBN-13 :  9783319274942

Author:  Anthony Aguirre, Brendan Foster, Zeeya Merali 

The prize-winning essays in this book address the fascinating but sometimes uncomfortable relationship between physics and mathematics. Is mathematics merely another natural science? Or is it the result of human creativity? Does physics simply wear mathematics like a costume, or is math the lifeblood of physical reality? The nineteen wide-ranging, highly imaginative and often entertaining essays are enhanced versions of the prize-winning entries to the FQXi essay competition “Trick or Truth”, which attracted over 200 submissions. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Trick or Truth The Mysterious Connection Between Physics and Mathematics 1st Table of contents:

1. Children of the Cosmos
2. Toy Model of Science
3. Selection Effects Behind Perceived Effectiveness of Mathematics in Physics
4. A Natural History of Mathematicians
5. Mathematics as Constrained Imagination
6. Mathematics Fails Science More Often Than Not
7. Abundant Degrees of Freedom in Applying Mathematics: The Case of Infinitesimals
8. A Speculative Question Concerning the Unthinkable
9. Reflections on Wigner and Einstein
10. Wigner’s Two Miracles
11. Previous Replies to Wigner
12. Einstein’s Philosophy of Science
13. Conclusion
14. References
15. Mathematics Is Physics
16. The Unreasonable Effectiveness of Mathematics in the Physical Sciences
17. What Is Mathematics?
18. Mathematical Platonism
19. Formalism
20. Mathematics as a Natural Science
21. The Structure of Human Knowledge
22. A Theory of Theory-Building
23. Implications
24. Conclusions
25. References
26. My God, It’s Full of Clones: Living in a Mathematical Universe
27. Math from Nothing and Your Physics for Free
28. What Part of Don’t You Understand? Welcome to the Maxiverse
29. Why Is Our World so Lawful and Simple?
30. Lost in the Maxiverse
31. Life and Death and Life in the Maxiverse
32. What Is the Maxiverse Good For?
33. References
34. Let’s Consider Two Spherical Chickens
35. 4:45 A.M. (Jan 2015, Pisa)
36. 7:00 A.M. (523 B.C., Crotone, Southern Italy)
37. 9:00 A.M. (Late June 2008, University of Vermont at Burlington)
38. 11:00 A.M. (Circa 2075, New York State)
39. 1:00 P.M. (Jan. 2015, Between New York and Pisa)
40. 2:00 P.M. (Jan 2015, Pizza Place Near Pisa)
41. 3:00 P.M. (Jan. 2015, Pisa Headquarters)
42. References
43. The Raven and the Writing Desk
44. References
45. The Deeper Roles of Mathematics in Physical Laws
46. Introduction
47. Questions
48. Symmetries and Order
49. Quantification
50. The Ubiquity of Additivity
51. Conclusions
52. References
53. How Mathematics Meets the World
54. References
55. Mathematics: Intuition’s Consistency Check
56. Introduction
57. The Deduction Factor
58. Intuition Versus Objectivity
59. Fuzzy Ideas: An Explicit Example
60. The Intuitive Flow of Time
61. The Two-Time Trap
62. Conclusions
63. References
64. How Not to Factor a Miracle
65. Is Physics Unreasonably Well Described in the Language Invented for that Purpose?
66. Appropriate Abstraction
67. Ways of Ignoring
68. Reduction and Co-reduction in Fundamental Physics
69. Factoring a Miracle
70. References
71. The Language of Nature
72. References
73. Demystifying the Applicability of Mathematics
74. A Mosaic of Problems
75. Too True to Be Good
76. Success as a Balancing Act
77. Rationalizing the Uncanny Accuracy of Mathematics
78. Explaining Miracles Away
79. References
80. Why Mathematics Works so Well
81. Introduction
82. What is Physics?
83. What is Mathematics?
84. Why Mathematics Works Well at Describing Physics?
85. References
86. Genesis of a Pythagorean Universe
87. Introduction
88. The Fine Tuning Question
89. Order from Chaos
90. Weak Anthropic Principle
91. A Cosmic Observer
92. The Condition of Elegance
93. A Pythagorean Universe
94. Three Worlds, Two Totalities
95. References
96. Beyond Math
97. The Pragmatic Physicist
98. The Mathematical Universe
99. A Mathological Classification
100. The Role of Mathematics in Physics
101. Models. Behaving. Gladly
102. How to Do Science Without Mathematics
103. Conclusions
104. References
105. The Descent of Math
106. Life and Physics: Two Roads Diverged in a Wood
107. You Can’t Get There from Here
108. Physical Reality and the Art of the Possible
109. Life, Information and ƒ Math!
110. References
111. The Ultimate Tactics of Self-referential Systems
112. Introduction
113. Two Conjectures for the Foundations of Mathematics
114. I. IRREDUCIBILITY: Mathematics is Irreducible to Anything Else that is Not Itself Mathematically Ex
115. II. INSATURATION: Mathematics Cannot, As a Whole, Be Constructed from a “Master Impredicative”
116. A Principle
117. PRINCIPLE: Mathematics is an Existence Condition for Autonomous Self-referential Systems, in Partic
118. Final Reflections and Self-Reflections
119. References
120. Cognitive Science and the Connection Between Physics and Mathematics
121. Physics: Experiments, Unification of Concepts, and Mathematics
122. Mathematics: Primordial Physics, Axioms, Theorems, and Beauty
123. Cognitive Science, Physics, and Mathematics
124. Quantum Theory and Noncommutative Geometry: A Conjecture
125. Outlook: Cognition Versus Platonism
126. References
127. A Universe from Universality
128. References
129. And the Math Will Set You Free
130. Introduction
131. A Universe in a Dot
132. So, Is Mathematics Discovered, or Invented?
133. But What Is Mathematics?
134. What Is Physics?
135. Is Mathematics Merely a Tool in Physics?
136. Is There Something that Can’t be Described by Mathematics?
137. Is Everything Isomorphic to a Mathematical Structure?
138. Can the Universe be Mathematical?
139. Does the Hypothesis of a Mathematical Universe Make Predictions?
140. Is There a Theory of Everything?
141. What Can Stop us from Finding the Theory of Everything?
142. Tegmark’s Mathematical Universe Hypothesis
143. Counting Minds

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